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Finding the Fourth Proportional to 314.88, 471.68 and 297.12

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Solution

The fourth proportional to 314.88, 471.68 and 297.12 is: 445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 471.68 = 297.12 : x
  2. Step 2: Convert to fraction form
    314.88/471.68 = 297.12/x
  3. Step 3: Cross multiply
    314.88x = 471.68 × 297.12
  4. Step 4: Simplify right side
    314.88x = 140,145.56
  5. Step 5: Solve for x
    x = 140,145.56/314.88
  6. Step 6: Final answer
    x = 445.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.